A347130 - OEIS

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A347130

a(n) = Sum_{d|n} d * A003415(n/d), where A003415 is the arithmetic derivative.

0, 1, 1, 6, 1, 10, 1, 24, 9, 14, 1, 48, 1, 18, 16, 80, 1, 63, 1, 72, 20, 26, 1, 176, 15, 30, 54, 96, 1, 124, 1, 240, 28, 38, 24, 270, 1, 42, 32, 272, 1, 164, 1, 144, 117, 50, 1, 560, 21, 135, 40, 168, 1, 324, 32, 368, 44, 62, 1, 552, 1, 66, 153, 672, 36, 244, 1, 216, 52, 236, 1, 936, 1, 78, 165, 240, 36, 284, 1, 880

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OFFSET

1,4

COMMENTS

Dirichlet convolution of the identity function (A000027) with the arithmetic derivative of n (A003415).

Dirichlet convolution of Euler phi (A000010) with A319684.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..10080

Antti Karttunen, Data supplement: n, a(n) computed for n = 1..65537

FORMULA

a(n) = Sum_{d|n} d * A003415(n/d).

a(n) = Sum_{d|n} A000010(n/d) * A319684(d).